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Recent years have witnessed significant progress in developing effective training and fast sampling techniques for diffusion models. A remarkable advancement is the use of stochastic differential equations (SDEs) and their…

Computer Vision and Pattern Recognition · Computer Science 2024-08-26 Defang Chen , Zhenyu Zhou , Jian-Ping Mei , Chunhua Shen , Chun Chen , Can Wang

Sampling from Diffusion Models can alternatively be seen as solving differential equations, where there is a challenge in balancing speed and image visual quality. ODE-based samplers offer rapid sampling time but reach a performance limit,…

Machine Learning · Computer Science 2025-02-28 Qinpeng Cui , Xinyi Zhang , Qiqi Bao , Qingmin Liao

Score-based generative models (SGMs) sample from a target distribution by iteratively transforming noise using the score function of the perturbed target. For any finite training set, this score function can be evaluated in closed form, but…

Machine Learning · Computer Science 2025-05-07 Christopher Scarvelis , Haitz Sáez de Ocáriz Borde , Justin Solomon

Recently, diffusion models have achieved great success in generative tasks. Sampling from diffusion models is equivalent to solving the reverse diffusion stochastic differential equations (SDEs) or the corresponding probability flow…

Machine Learning · Computer Science 2023-11-03 Hanzhong Guo , Cheng Lu , Fan Bao , Tianyu Pang , Shuicheng Yan , Chao Du , Chongxuan Li

Score-based Generative Models (SGMs) have demonstrated exceptional synthesis outcomes across various tasks. However, the current design landscape of the forward diffusion process remains largely untapped and often relies on physical…

Machine Learning · Computer Science 2023-10-13 Kushagra Pandey , Stephan Mandt

Diffusion-based generative models have achieved remarkable performance across various domains, yet their practical deployment is often limited by high sampling costs. While prior work focuses on training objectives or individual solvers,…

Machine Learning · Computer Science 2026-02-16 Sangwoo Jo , Sungjoon Choi

We provide the first polynomial-time convergence guarantees for the probability flow ODE implementation (together with a corrector step) of score-based generative modeling. Our analysis is carried out in the wake of recent results obtaining…

Machine Learning · Computer Science 2023-05-22 Sitan Chen , Sinho Chewi , Holden Lee , Yuanzhi Li , Jianfeng Lu , Adil Salim

Diffusion models (DMs) have made significant progress in the fields of image, audio, and video generation. One downside of DMs is their slow iterative process. Recent algorithms for fast sampling are designed from the perspective of…

Machine Learning · Statistics 2023-09-12 Shigui Li , Wei Chen , Delu Zeng

Diffusion models generate samples by reversing a fixed forward diffusion process. Despite already providing impressive empirical results, these diffusion models algorithms can be further improved by reducing the variance of the training…

Machine Learning · Computer Science 2023-02-20 Yilun Xu , Shangyuan Tong , Tommi Jaakkola

Diffusion Probabilistic Models (DPMs) have achieved considerable success in generation tasks. As sampling from DPMs is equivalent to solving diffusion SDE or ODE which is time-consuming, numerous fast sampling methods built upon improved…

Machine Learning · Computer Science 2025-06-26 Shuchen Xue , Mingyang Yi , Weijian Luo , Shifeng Zhang , Jiacheng Sun , Zhenguo Li , Zhi-Ming Ma

Diffusion-based generative processes, formulated as differential equation solving, frequently balance computational speed with sample quality. Our theoretical investigation of ODE- and SDE-based solvers reveals complementary weaknesses: ODE…

Computer Vision and Pattern Recognition · Computer Science 2025-11-03 Ruoyu Wang , Beier Zhu , Junzhi Li , Liangyu Yuan , Chi Zhang

Diffusion models have shown remarkable performance in generation problems over various domains including images, videos, text, and audio. A practical bottleneck of diffusion models is their sampling speed, due to the repeated evaluation of…

Computer Vision and Pattern Recognition · Computer Science 2024-08-13 Taehong Moon , Moonseok Choi , EungGu Yun , Jongmin Yoon , Gayoung Lee , Jaewoong Cho , Juho Lee

Score-based diffusion models generate samples from an unknown target distribution using a time-reversed diffusion process. While such models represent state-of-the-art approaches in industrial applications such as artificial image…

Machine Learning · Computer Science 2026-02-09 Adrian Baule

Diffusion-based generative models use stochastic differential equations (SDEs) and their equivalent ordinary differential equations (ODEs) to establish a smooth connection between a complex data distribution and a tractable prior…

Machine Learning · Computer Science 2024-08-25 Defang Chen , Zhenyu Zhou , Can Wang , Chunhua Shen , Siwei Lyu

Score-based diffusion models are a powerful class of generative models, widely utilized across diverse domains. Despite significant advancements in large-scale tasks such as text-to-image generation, their application to constrained domains…

Machine Learning · Computer Science 2025-07-15 Saeid Naderiparizi , Xiaoxuan Liang , Setareh Cohan , Berend Zwartsenberg , Frank Wood

Progressively applying Gaussian noise transforms complex data distributions to approximately Gaussian. Reversing this dynamic defines a generative model. When the forward noising process is given by a Stochastic Differential Equation (SDE),…

Machine Learning · Statistics 2023-04-06 Valentin De Bortoli , James Thornton , Jeremy Heng , Arnaud Doucet

Generative diffusion models have emerged as a powerful tool for high-quality image synthesis, yet their iterative nature demands significant computational resources. This paper proposes an efficient time step sampling method based on an…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Haeil Lee , Hansang Lee , Seoyeon Gye , Junmo Kim

Diffusion-based generative graph models have been proven effective in generating high-quality small graphs. However, they need to be more scalable for generating large graphs containing thousands of nodes desiring graph statistics. In this…

Machine Learning · Computer Science 2023-06-01 Xiaohui Chen , Jiaxing He , Xu Han , Li-Ping Liu

Diffusion-based generative models learn to iteratively transfer unstructured noise to a complex target distribution as opposed to Generative Adversarial Networks (GANs) or the decoder of Variational Autoencoders (VAEs) which produce samples…

Machine Learning · Computer Science 2022-10-26 Sarthak Mittal , Guillaume Lajoie , Stefan Bauer , Arash Mehrjou

Despite their groundbreaking performance for many generative modeling tasks, diffusion models have fallen short on discrete data domains such as natural language. Crucially, standard diffusion models rely on the well-established theory of…

Machine Learning · Statistics 2024-06-10 Aaron Lou , Chenlin Meng , Stefano Ermon